EP3760972B1

EP3760972B1 - Fiber optic gyroscope control system using sub-tau modulation

Info

Publication number: EP3760972B1
Application number: EP20181656.8A
Authority: EP
Inventors: George Attila Pavlath
Original assignee: Northrop Grumman Systems Corp
Current assignee: Northrop Grumman Systems Corp
Priority date: 2019-07-02
Filing date: 2020-06-23
Publication date: 2023-04-05
Anticipated expiration: 2040-06-23
Also published as: IL275544B2; US10794703B1; IL275544B1; EP3760972A1; IL275544A

Description

TECHNICAL FIELD

This disclosure relates to control systems, and more particularly to a fiber optic gyroscope control system using sub-tau modulation.

BACKGROUND

Fiberoptic gyroscope (FOG) coils are generally controlled by one or more control lops where light traveling in opposite directions is applied to the coil to determine parameters such as rotation rate and angular position changes. The step duration for the modulation signal applied to the FOG is approximately equal to the optical transit time, tau. In some cases, random phase modulation (RPM) may be employed but in other cases different types of modulation can be utilized. In the case of RPM, an automatic gain control (AGC) loop is employed to maintain unity gain around the primary (rate) servo loop for the FOG which maximizes bandwidth. The bandwidth is generally driven by a three tau-delay in applying a new step in response to a gyro input. In the first tau period, the optical signal is integrated and converted by an AD converter. The second tau period is consumed processing the received gyro output and computing what the feedback step size should be which is then added to the appropriate modulation value. Typically, this new step size cannot be applied at the end of the second tau period and needs to wait until the end of the third tau period to be applied. As the gyro sensing coil lengths is made longer however, it is possible to apply the signal at the end of the second tau period but the delay still affects bandwidth and vibration sensitivity.
Document US4948252A discloses a method comprising generating a serrodyne signal responsive to a rate signal derived from the electrical phase-difference signal at a first frequency; producing a rate bias signal consisting of a periodic square having that first frequency; producing a gain bias signal consisting of a sequence of step-voltage transitions at the ends of successive equal intervals of time equal to half the period of the serrodyne signal; summing the serrodyne signal, the rate bias signal, and the gain bias signal to produce a summed phase modulation signal; multiplying the summed phase modulation signal with a gain signal derived from the electrical phase-difference signal at a second frequency twice the first frequency to produce a corrected summed phase modulation signal; and applying the corrected phase modulation signal to the phase modulation means.

SUMMARY

This disclosure relates to a fiber optic gyroscope control system using sub-tau modulation. In one aspect, a system according to claim 1 is provided.
In yet another aspect, a method according to claim 13 is provided.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 illustrates a block diagram of an example system that employs sub-tau modulation to control light signals applied to and received from a fiber optic coil.
FIG. 2 illustrates an example system for controlling light paths in a fiber optic gyroscope using sub-tau modulation.
FIG. 3 illustrates an example of a modulation controller that employs sub-tau modulation.
FIG. 4 illustrates an example timing diagram for the modulation controller depicted in FIG. 3.
FIG. 5 illustrates an example diagram for increasing bandwidth of a fiberoptic gyro system using different values for sub-tau modulation.
FIG. 6 illustrates an example of a modulation controller that employs a deterministic number generator using sub-tau modulation.
FIG. 7 illustrates an example method that employs sub-tau modulation to modulate and control light signals to and from a fiber optic coil.

DETAILED DESCRIPTION

This disclosure relates to modulating and controlling light signals applied to and received from a fiber-optic gyroscope (FOG). The FOG's measure angular rotation using light transmitted through a fiber optic coil of the FOG and use the Sagnac effect to calculate the angular rotation. Two light beams are injected in opposite directions into the coil of the FOG. Due to the Sagnac effect, the light beam traveling against the rotation experiences a slightly shorter path delay than the other beam. The resulting difference (i.e., differential phase shift) can be used to calculate the angular velocity and rotation. During operation of the FOG, modulation output signals at calculated time increments referred to as sub-tau time periods are applied to the light beams in order to improve the performance (e.g., accuracy, bandwidth) of the gyroscope. Modulation output signals are applied at a beginning of a transit time period tau which refers to the time it takes for light to be applied to the fiber optic coil and returned from the coil after being applied. In conventional FOG's, the modulation time is approximately equal to the optical transit time tau. In the systems, circuits, and methods described herein, the modulation time is subdivided into increments that are less than tau and this is referred to as sub-tau modulation.
In order to determine the time increments for computing the modulation output signal, a random phase modulation (RPM) generator (or deterministic number generator) and an automatic gain control (AGC) loop are employed to maintain unity gain around a primary (rate) servo loop, which maximizes bandwidth for the light signals provided to and received from the FOG. Thus, bandwidth is dependent on the delay in applying a new computation and computational step for the generation of modulation output signal in a given time increment in response to a FOG input (the longer the delay, the smaller the bandwidth). In applying the next computational increment, the optical signal received from the FOG is integrated and converted by an AD converter. This conventionally occurs over one transit time period tau. The signal is then processed to determine the feedback increment size and which conventionally occurs over a second period tau. The next calculated increment cannot generally be applied at the end of the second period tau and waits until the end of the third period tau to be applied. This delay that is several multiples of the tau time period reduces the bandwidth of the FOG in conventional systems making them more sensitive to environmental conditions (e.g. vibration, shock, and so forth).
In the present disclosure, higher odd harmonics (e.g., 3rd harmonic, 5th harmonic, 7th harmonic, or numbers between the odd harmonics not including even harmonics) of the fundamental transit time period tau can be applied to the modulation output signal to increase bandwidth of the FOG control loop and to provide substantial reduction in vibration sensitivity. For example, if using the 3rd harmonic as the modulation time period, the time period would be computed as tau/3 in one example. So, in a 3km coil for a FOG, where the transit time period tau is 15 microseconds, the modulation computational increment could be applied at 15/3 or 5 microseconds if the example tau/3 were selected. Instead of processing over one full period tau as in conventional control systems (e.g. over 15 microseconds in this example), it now processes one period divided by an odd integer value (e.g., tau/3, tau/5, tau/7, and so forth). The modulation signal is then processed to determine the feedback step size. Instead of this processing occurring over a second full period tau as in conventional systems, the systems and circuits described herein utilize one period divided by a respective odd integer value. As a result of subdividing the computational time period for computing the next modulation output signal to the FOG, the bandwidth is improved by the value that tau is divided by (e.g., sub-tau modulation) since the control loops described herein can operate at a higher rate of speed for generating the next light signals to operate the FOG. The vibration sensitivity is also reduced accordingly by subdividing tau.
FIG. 1 illustrates a block diagram of an example system 100 that employs sub-tau modulation to control light signals applied to and received from a fiber optic coil 110. The system 100 includes a modulation controller 120 that generates a modulation output signal that is employed to generate a phase modulator output signal 124 to control output light signals in the fiber optic coil 110. The phase modulator output signal 124 is generated to control a phase relationship between input light signals received from the fiber optic coil 110 in response to the output light signals. The modulation controller 120 receives the input light signals as feedback 130 from the fiberoptic coil and adjusts the phase modulator output signal 124 to null a phase shift between clockwise and counterclockwise output light signals. The phase shift is in response to rotation of the fiber optic coil 110 in the presence of the output light signals. A transit time clock 134 in the modulation controller 120 controls timing of the controller. The transit time clock 134 is set to a clock speed to control a time period of the modulation output signal generated by the modulation controller. The time period is set to a period less than an optical transit time, tau, of the light signals applied to the fiber optic coil 110 and returned as the input light signals as feedback 130 from the coil after being applied.
Setting the time period for the transit clock 134 is referred to as sub-tau modulation. By increasing the transit clock speed (e.g., reducing the incremental times to generate the next modulation output signal), the system 100 provides improved bandwidth over conventional systems that are based on tau as its computational time frame since overall loop closure speeds can be increased due to the increased clock speeds. Also, by utilizing sub-tau modulation as described herein, vibration sensitivity with respect to the fiber optic coil over environmental conditions such as shock and temperature are reduced due to the increased loop closure time.
As shown, light is generated from a light source 140 which is can be a laser source such as a laser diode or a super-luminescent diode, for example. Light output 144 from the light source 140 is provided to a coupling and feedback network 150 (e.g., 2x1 coupler) where some of the light from the light source is passed to a multifunction integrated optics chip (MIOC) 160 and used to generate modulated light signals to the fiber optic coil 110. After light has travelled through the fiber optic coil 110 taking one transit time referred herein as tau, it passes back though the MIOC 150 where it is re-modulated and passed to the coupling and feedback network 150 where the returned light from the fiber optic coil is diverted as the feedback signal 130 provided to the modulation controller 120. A photodiode (not shown, see e.g., FIG. 3) in the feedback loop receiving the light signal 130 converts the light signal to an electrical signal for further processing by the modulation controller 120.
In one example, the modulation controller 120 includes a random or pseudo random number generator (see e.g., FIG. 3) to generate the modulation output signal based on a random or pseudo random number sequence. Random number generation is used to mitigate disturbance caused by the much larger phase modulator output signal 124 (e.g., several volts) from causing interference with the much smaller feedback signal 130 (e.g., a microvolt). The time period in a random number example can be subdivided by an odd integer value and is set less than the next successive even integer value greater than the respective odd integer value. For example, the time period can be set as tau/3, tau/5. tau/7, tau/9, and so forth. Even integer value divisions are not selected as that can cause phase cancellation between the light signals generated to the fiber optic coil 110 and the light signals received therefrom in response to the generated signals. However, subdivisions such as tau/3.2, tau/5.45. tau/7.86 are possible however, such increments beyond the odd integer subdivision can result in less feedback signal received from the fiber optic coil 110 due to phase cancellation.
In another example, the modulation controller 120 can include a deterministic number generator (see e.g., FIG. 6) to generate the modulation output signal based on a predetermined high and low sequence number sequence (e.g., square wave or some other deterministic value having relatively equal high and low periods for the time period. In this example, the time period of this deterministic modulation pattern is defined as Nsubtau, where N is an integer greater than or equal to 2 where tau is subdivided by an odd integer value and is set less than the next successive even integer value greater than the respective odd integer value. For example, in a square wave deterministic generator where N is 2 and thus having a period of 2tau, sub-tau clock speed settings can include tau/3, tau/5. tau/7, tau/9, and so forth. For other deterministic systems that employ other than a 2tau square wave situation defining a respective period, sub-tau clock speed settings can be extended to the general case of tau/3, tau/5. tau/7, tau/9, and so forth. Similar to the random number example, subdivisions such as tau/3.36, tau/5.64, and tau/7.23, for example, are also possible.
FIG. 2 illustrates an example system 200 for controlling light paths in a fiber optic gyroscope using sub-tau modulation. A fiber optic coil 210 is driven from a multifunction integrated optic chip (MIOC) 214 which is an integrated circuit having optical paths in addition to electrical control paths for controlling light in the fiber optic coil. Light from a 2x1 coupler 216 is received by a waveguide 220 which includes a polarizer 224 shown as a straight portion and feeds a y-junction coupler 228 that separates a single polarized beam of light into two beams. After splitting, the beams are modulated by a phase modulator 234 and provided to the fiber optic coil 210. The 2x1 coupler 216 is driven by a light source 240 and provides light to drive the fiber optic coil 210 in one portion of the coupler. The 2x1 coupler 216 in one example can be set for a 50/50 ratio where light out of the coupler is approximately 50 percent less than the light received from the light source 240.
Light received on its return path from the fiber optic coil 210 is passed through the other portion of the 2x1 coupler (at about 50 percent reduced) as light feedback 244 that is converted to an electrical signal 250 by a photodiode 254. A modulation controller 260 processes the electrical signal 250 and drives the phase modulator 234 in the MIOC 214 via a phase modulation output signal 270 (or signals). The phase modulation output signal 270 allows for loop closure and modulation with respect to light signals driving the fiber optic coil 210 and light signals returned from the fiber optic coil 210 via the phase modulator 234 and MIOC 214. The modulation controller 260 also generates a rate output signal 274 that can be processed by other systems (not shown).
FIG. 3 illustrates a modulation controller 300 that employs sub-tau modulation to modulate and control light signals to and from a fiber optic coil. In one example, the modulation controller 300 can be implemented as an electro-optical integrated circuit and in other examples as a system that may include one or more of the circuits shown in FIG. 3. A pseudo random number generator 310 provides a modulation output signal 314 that is a pseudo random step up or step down based on a transit clock 318 which is set at a sub multiple of the optical transit time which is referred to as tau. As used herein, the term optical transit time tau refers to the time it takes for light to enter and be returned from the fiber optic coil such as shown at 210 of FIG. 2. The modulation output signal 314 is provided according to a pseudo random sequence (or random sequence) by the pseudo random number generator 310 which can be a function of a tap delay line which causes eventual repeating of output signal patterns. As shown, a transit time clock 318 drives the pseudo random number generator 310 which sets the timing for the modulation controller 300. The transit time clock 318 is set for a period of less than tau (e.g., tau/3, tau/5, tau/7), where tau is the time it takes to transmit and receive light through the fiber optic coil.
Light signal feedback from the fiber optic coil is received as an electrical signal at 324 (e.g., received from photodiode) at an integral rate loop demodulator 326 and also provided to a time delay element 360 which is set at z^-3 where z is adapted (z^-3) approximately equal to the sub-divided tau value which is the transit time (to synchronize modulation controller in light of increased transit clock speeds) of light entering and returning from the fiber optic loop. The integral rate loop demodulator 326 performs an integral function on the electrical signal 324 as it demodulates the electrical signal. Although an integral rate loop demodulator is shown and described herein, other functions can be implemented to perform signal processing at the first and/or second demodulator stages. For example, these respective stages can be implemented as at least one of a proportional controller, a derivative controller, an integral controller, a proportional-integral controller (PI) or a proportional-integral-derivative (PID) controller to perform demodulation. The integral rate loop demodulator 326 receives a reference input signal 328 which is delayed by a time delay element 330 that is based on a sub-divided transit time tau shown as (z^-3). The reference output 334 is provided by the pseudo random number generator 310 to drive the time delay element 330 from which the reference input signal 328 is derived.
An output signal 336 (e.g., demodulated rate signal) from the integral rate loop demodulator 326 is provided to an adder 338 (e.g., adder circuit or digital adder) which provides a rate and modulation output signal 340 to a resetting ramp generator 344. The resetting ramp generator 344 can be N number of bits (e.g., 12 to 16) and generates stair-case like (ramp up or ramp down between some maximum and minimum number) rate and modulation output voltage at 346, where N is a positive integer. The resetting ramp generator 344 also generates a reset reference output signal 350 which is received at reset reference input 354 of an integral scale factor loop demodulator 356 (e.g., or other type including proportional, derivative, proportional/derivative, or proportional-integral-derivative (PID) control functions or circuits). The reset reference output signal 350 is a number that is 1 or -1, where 1 represents a positive overflow (generator has maxed out) of the resetting ramp generator 344 and -1 represents an underflow (generators minimum value has been reached). Similarly, the reference output signal 334 is a value representing 1 or -1 depending on whether the output of the pseudo random number 310 is a step up or a step down. The integral scale factor loop demodulator 356 also receives a delayed version of the electrical signal 324 from the time delay element 360 at input 364 where the delay is set for a subdivided tau period. The integral scale factor loop demodulator 356 is similar in function to the integral rate loop demodulator 326 which multiplies its respective inputs and runs a continuing summing operation to perform integration after the multiplication. A scale factor correction signal 370 (e.g., a number near the value of 1 to correct for errors over temperature or age) is generated by the integral scale factor loop demodulator 356 and provided to a multiplier 374 (e.g., analog or digital circuit to perform multiplication) which is multiplied by the rate and modulation voltage 346 to provide a scaled rate and modulation voltage 380. The scaled rate and modulation voltage 380 can be provided to a digital to analog converter 384 output from which can be applied as signal 270 to the phase modulator 234 of FIG. 2.
FIG. 4 illustrates an example timing diagram 400 for the modulation controller that employs sub-tau modulation as depicted in FIG. 3. Time is represented along the horizontal axis and delineated starting at time t = 0, time t=tau (tau represented in seconds), t=2tau, t=3tau, and t=4tau. At time t=0 a new step and modulation (from output 384 of FIG. 3) is applied to the phase modulator described herein and the photodiode output representing received light from the fiber optic coil is integrated from time t=0 to time t=tau/3 which in this example is a fraction of tau referred to as sub-tau (e.g., tau/3, tau/5, tau/7, tau/3.5 and so forth) and runs for a period shown at reference numeral 410. During time period shown at 420, which is still less than tau seconds, a propagation delay occurs waiting for light to return from the fiber optic coil which takes tau seconds.
Shortly after time t=tau, an analog to digital conversion (A/D) of the photodiode signal is completed. From the completion of the A/D signal shortly after t=tau, the converted digital signal is processed for rate and scale factor correction and the phase modulator signal is computed after t=tau during time period shown at 430 which in this example occurs at time tau/3 after time period tau as started. At time period shown at 440, a delay occurs applying a new value to the D/A converter which receives output signal 380 from multiplier 374. After time period 440 has completed which is less than 2tau and occurs two tau/3 periods after t=tau in this example, the D/A conversion is completed and applied as the new phase modulator control signal to the phase modulator 234 of FIG. 2.
After time period 440 has completed which is less than 2tau and occurs two tau/3 periods, the time sequence repeats to drive the fiber optic coil in another sequence. The bandwidth of the modulation controller 300 is thus basically represented as tau plus 2 tau/3 delays as shown after 440 time period of FIG. 4 which represents sub-tau modulation processing and timing for the systems of FIGS. 1, 2, and 3 described herein. By increasing the rate at which the modulation, ramps, and demodulation signals are generated and processed, the bandwidth of the system is increased over prior systems. The increase in bandwidth over prior systems is illustrated in FIG. 5 which increases as the transit clock processing speed is increased thus reducing the time in between tau periods in which modulation and processing of light signals is processed.
FIG. 5 illustrates an example diagram 500 for increasing bandwidth of a fiberoptic gyro system using different values for sub-tau modulation. The odd-harmonic sub-tau values in seconds are represented along the horizontal axis of the diagram 500 and bandwidth increases are shown on the vertical axis. At tau = 3, the bandwidth (BW) is 1.75 using 2 sub-tau feedback and is 2.25 using 1 sub-tau feedback. At tau = 5, the bandwidth (BW) is about 2.2 using 2 sub-tau feedback and is about 2.50 using 1 sub-tau feedback. At tau = 7, the bandwidth (BW) is about 2.35 using 2 sub-tau feedback and is about 2.60 using 1 sub-tau feedback. The BW continues to improve as the sub-tau setting is increased however, a limitation of the transit time through the fiber optic coil introduces wait delays in the system waiting for light to return from the coil. Thus, as the sub-tau factor is increased, the increase in BW begins to roll-off due to the wait-time of the fiber-optic coil.
FIG. 6 illustrates an example of a modulation controller 600 that employs a deterministic number generator 610 using sub-tau modulation. For purposes of brevity, each component of FIG. 6 will not be described but also function similarly to the description of FIG. 3. The modulation controller 600 can include the deterministic number generator 610 to generate a modulation output signal 620 based on a predetermined high and low sequence number sequence (e.g., square wave or some other deterministic value having relatively equal high and low periods for the time period). The deterministic number generator 610 is clocked by a transit clock 630 set for sub-tau speeds as described herein. In this example, the time period for the transit clock 630 is defined as sub tau, where sub tau is tau divided by an odd integer value and that is greater than the respective odd integer value or greater than the prior even integer value. For example, in a square wave deterministic generator where N is 2 and thus having a period of 2tau, sub-tau clock speed settings can include tau/3, tau/5. tau/7, tau/9, and so forth.
For other deterministic systems that employ other than a 2tau square wave situation defining a respective period, sub-tau clock speed settings can be extended to the general case of tau/3, tau/5. tau/7, tau/9, and so forth. Similar to the random number example, subdivisions such as tau/3.36, tau/5.64, and tau/7.23, for example, are also possible. It is noted that for deterministic modulation, time delay elements TD1 and TD2 are provided and similar to phase compensators 330 and 360 shown with respect to FIG. 3 synchronize the reference signals with the fiber optic gyro outputs.
In view of the foregoing structural and functional features described above, an example method will be better appreciated with reference to FIG. 7. While, for purposes of simplicity of explanation, the method is shown and described as executing serially, it is to be understood and appreciated that the method is not limited by the illustrated order, as parts of the method could occur in different orders and/or concurrently from that shown and described herein. Such method can be executed by various components configured in an integrated circuit, processor, or a controller, for example.
FIG. 7 illustrates an example method 700 that employs sub-tau modulation to modulate and control light signals to and from a fiber optic coil. At 710, the method 770 includes generating a modulation output signal that is employed to control modulation of light signals in a fiber optic coil (e.g., via generator 310 of FIG. 3 or generator 610 of FIG. 6. At 720, the method 700 includes generating a transit time clock to control timing of the modulation output signal (e.g., via transit clock 134 of FIG. 1). The transit time clock has a clock speed to control a time period of the modulation output signal. The time period is set to a period less than an optical transit time tau for the light signals applied to the fiber optic coil and returned from the coil after being applied. The time period tau is subdivided is subdivided by an odd integer value and is set less than the next successive even integer value greater than the respective odd integer value or set greater than the prior even integer value.
At 730, the method 700 includes receiving a first delayed signal (via time delay element 330 of FIG. 3) and a feedback signal representing light from the fiber optic coil. At 740, the method 700 includes generating a demodulated rate signal based on integrating the first delayed signal and the feedback signal (e.g., via demodulator 626 of FIG. 3). At 750, the method 700 includes receiving a reset signal and a second delayed signal (via time delay element 360 of FIG. 3) representing the feedback signal. At 760, the method 700 includes generating a scale factor correction signal for the light signals based on integrating the reset signal and the second delayed signal (e.g., via demodulator 356 of FIG. 3) The method 700 can also include adjusting a delay for the first delayed signal and the second delayed signal according to a period of the transmit time clock.
What has been described above are examples. It is, of course, not possible to describe every conceivable combination of components or methodologies, but one of ordinary skill in the art will recognize that many further combinations and permutations are possible. Accordingly, the disclosure is intended to embrace all such alterations, modifications, and variations that fall within the scope of the appended claims. As used herein, the term "includes" means includes but not limited to, the term "including" means including but not limited to. The term "based on" means based at least in part on. Additionally, where the disclosure or claims recite "a," "an," "a first," or "another" element, or the equivalent thereof, it should be interpreted to include one or more than one such element, neither requiring nor excluding two or more such elements.

Claims

A system (100), comprising:
a modulation controller (120, 260, 300) configured to generate a modulation signal (314) to control timing in the modulation controller, the modulation controller being configured to generate a phase modulator output signal (124, 270, 380) to control clockwise and counterclockwise output light signals applied to a fiber optic coil (110) based on the modulation signal, the phase modulator output signal being is generated to control a phase relationship between input light signals received from the fiber optic coil (110) in response to the output light signals, the modulation controller being configured to receive the input light signals as feedback from the fiber optic coil (110) and to adjust the phase modulator output signal to null a phase shift between the clockwise and counterclockwise output light signals, wherein the phase shift is in response to a rotation of the fiber optic coil (110) in the presence of the output light signals; and

a transit time clock (134, 318) in the modulation controller (120, 260, 300) configured to control timing of the modulation controller, the transit time clock being set to a clock speed to control a time period of the modulation signal (314) generated by the modulation controller, the time period of the modulation signal being a time period at successive increments of which the modulation signal is step-changed, the system being characterized in that the time period of the modulation signal is less than tau and equal to (1/n)*tau, wherein n is an odd integer value and tau is an optical transit time of the output light signals applied to the fiber optic coil (110) and returned as the input light signals as the feedback from the fiber optic coil (110) after being applied.
The system (100) of claim 1, wherein the modulation controller (120) further comprises a random or pseudo random number generator (310) to generate the modulation signal based on a random or pseudo random number sequence and the transmit time clock.
The system (100) of claim 2, further comprising a first loop demodulator (326) configured to receive a first delayed signal from the random number generator (310) and a feedback signal representing light from the fiber optic coil, wherein the first loop demodulator is configured to generate a demodulated rate signal based on the first delayed signal and the feedback signal, wherein the first delayed signal is delayed in time by an amount equal to the time period of the modulation signal.
The system (100) of claim 3, further comprising a first time delay element (330) configured to provide the first delayed signal based on a reference output from the random number generator (310), wherein a delay of the first delayed signal is set to a time period adapted to the time period of the modulation signal.
The system (100) of claim 4 , further comprising a second loop demodulator configured to receive a reset signal and a second delayed signal representing the feedback signal and generate a scale factor correction signal for the light signals based on the reset signal and the second delayed signal, wherein the reset signal is generated based on the modulation signal and the second delayed signal is a time delayed version of the feedback signal that has been delayed in time by an amount equal to the time period of the modulation signal.
The system (100) of claim 5, further comprising a second time delay element (360) configured to provide the second delayed signal based on the on the feedback signal, wherein a delay of the second feedback signal is set to the time period adapted to the time period of the modulation signal.
The system (100) of claim 6, further comprising a resetting ramp generator configured to generate the reset signal based on the modulation signal from the random number generator (310) that is added to an output from the first loop demodulator (326), the output from the first loop demodulator (326) corresponding to the demodulated rate signal.
The system (100) of claim 7, wherein the first loop demodulator (326) and the second loop demodulator perform a multiplication of signals received at respective inputs to the first and second loop demodulators (326) and perform an integration by performing a running sum in the first and second loop demodulators (326) based on the multiplication at the respective inputs.
The system (100) of claim 7, wherein the first loop demodulator (326) or the second loop demodulator include at least one of a proportional controller, a derivative controller, an integral controller, a proportional-integral controller (PI) or a proportional-integral-derivative (PID) controller to perform demodulation.
The system (100) of claim 8, further comprising a multiplier circuit to multiply a rate and modulation voltage from the resetting ramp generator with the scale factor correction output voltage corresponding to the scale factor correction signal from the second loop demodulator to generate a scaled rate and modulation voltage.
The system (100) of claim 10, further comprising a digital to analog converter (DAC) to generate the phase modulator output signal based on the scaled rate and modulation voltage.
The system (100) of claim 11, further comprising a multifunction integrated optic chip (214) to modulate the light signals to the fiber optics coil based on the phase modulator output signal from the DAC.
A method (700), comprising:
generating (710) a modulation signal to control a modulation of light signals in a fiber optic coil (110);

setting (720) a clock speed of a transit time clock to control a time period of the modulation signal, wherein the time period of the modulation signal is a time period at successive increments of which the modulation signal is step-changed, and the time period of the modulation signal is less than tau and equal to (1/n)*tau, wherein n is an odd integer value and tau is an optical transit time for the light signals applied to the fiber optic coil (110) and returned from the fiber optic coil (110) after being applied;

receiving (730) a first delayed signal and a feedback signal representing light from the fiber optic coil (110), wherein the first delayed signal is a reference input signal that is delayed in time by an amount equal to a time period of the modulation signal;

generating (740) a demodulated rate signal based on a processing of the first delayed signal and the feedback signal;

receiving a (750) reset signal and a second delayed signal representing the feedback signal; wherein the reset signal is generated based on the modulation signal, and the second delayed signal is a time delayed version of a feedback signal that has been delayed in time by an amount equal to the time period of the modulation signal; and

generating (760) a scale factor correction signal for the light signals based on a_processing of the reset signal and the second delayed signal.
The method (700) of claim 13, further comprising adjusting a time delay for the first delayed signal and the second delayed signal based on the time period of the modulation signal.